The Coastline Paradox Explained What Does Earth Look 2 days ago   06:00

Share
RealLifeLore
The first 755 people to sign up for Brilliant will get 20% off their premium subscription: https://brilliant.org/RealLifeLore/

Get the RealLifeLore book here: http://amzn.to/2ieJLyN

Please Subscribe: http://bit.ly/2dB7VTO


Music is by Brandon Maahs. Check out his website and music by clicking this link: http://www.brandonmaahs.com/audio-reel

Animations courtesy of Josh Sherrington of Heliosphere: https://www.youtube.com/c/heliosphere

Facebook: https://www.facebook.com/RealLifeLore/
Twitter: https://twitter.com/RealLifeLore1
Reddit: https://www.reddit.com/r/RealLifeLore/

Subreddit is moderated by Oliver Bourdouxhe

Special thanks to my Patrons: Danny Clemens, Adam Kelly, Sarah Hughes, Greg Parham, Owen, Donna

Videos explaining things. Mostly over topics like history, geography, economics and science.

We believe that the world is a wonderfully fascinating place, and you can find wonder anywhere you look. That is what our videos attempt to convey.

Currently, I try my best to release one video every week. Bear with me :)

Sources and further reading:

https://en.wikipedia.org/wiki/Coastline_paradox

https://en.wikipedia.org/wiki/List_of_countries_by_length_of_coastline

https://en.wikipedia.org/wiki/Minkowski%E2%80%93Bouligand_dimension

https://en.wikipedia.org/wiki/Coast#Coastline_problem

https://en.wikipedia.org/wiki/Sierpi%C5%84ski_curve

https://en.wikipedia.org/wiki/List_of_U.S._states_by_coastline

https://en.wikipedia.org/wiki/How_Long_Is_the_Coast_of_Britain%3F_Statistical_Self-Similarity_and_Fractional_Dimension

https://en.wikipedia.org/wiki/Koch_snowflake

https://en.wikipedia.org/wiki/Fractal

Comments 8290 Comments

ISAAC CLARKE MARKER
The alleged Islamic God does not exist merely as a false illusion and Islam is a religion made by deceitful sincerity and fools and Quran is a human book contradictory and challenge to bring one such as illogical and unnecessary
ISAAC CLARKE MARKER
Khwarizmi's discoveries have nothing to do with Islam by the way
ISAAC CLARKE MARKER
So there is a sacred geometry behind the paradox
Raxius
Just use the smallest reasonable measurement, the planck length.
Chris World
That’s why *strait borders*
Tuna Tezer
Once when I made a map of Europe Norway's coastline ended up being thiccer than anything else
Scott B
Yeah, this a good example of the inherent flaws of purely spatial reasoning.
IAmTHEGoD0fHELLFIRE
I just loved the fact that the north of Ireland wasn't included as part of the U.K. Just as it should be. Drink poteen. Fuck the Queen. Up the IRA. TAL!
Itachi's Will
That sponsor segue was smooth asf
Acklon
You could just define the "coastline" by a minimum depth of the water so that rivers and such that stretch inland are not counted because the water gets too shallow as it comes closer to land
Giovanny Ü Solis
and why dont they drive a car following the costline and measure how much did they drive, that would be quite accurate
TheTurkeyPenguin
Maybe you could do a path integral to find the length of the coastline?
Meera Charlotte
okay but why don't answer the question practically and take some thread go around GB and then after circling GB come back to your starting point, gather the thread and measure the heck out of it. learn from Ariadne guys.
Guilherme Chaves
wait... the UK is not a country... 0:50
B E
America's coastline is the globe itself.
Daniel Agostinho
This just seems a mathematics calculus questions, where you multiply the smallest length you can measure, Δx, and the number of times you measured, n, and then you have the total measure Δx*n, notice that n is a function of Δx, the smaller Δx, the bigger is n, so you have an indeterminate form like 0*∞, and this means isn't ∞ or 0, it can have a value, you just need to take the limit as Δx → 0 of (Δx * n). There's no paradox here.
Parveena Tupsy
98802987km
Apache none
Bruh use cm
Ethanos
Why doesn’t somebody just walk around Britain with a trundle wheel
Patrick Armstrong
This is a MORONIC video.
Obviously the maker of this video never studied calculus, calculating the area under a curve and limits.
The length of a coast line doesn't grow bigger the smaller the measurement unit.
It approaches it's limit (a finite number) and a more precise number.
0.9
0.99
0.999
0.9999
As delta (unit of measure) approaches 0, the closer the function value approaches 1... not infinity
As to coast lines changing - true.
But that's why surveyors use lat/long co-ordinates.
If a coast line could be instantaneously surveyed, then one could calculate precisely the perimeter of a coastline at a specific point in time.
They would not need to consider the curvature of the earth if the unit is 1 foot.
Even a half-wit knows the answer that is so.
Add Reply

What Does Earth Look The Coastline Paradox Explained 2 days ago   10:48

Share
Follow Michael Stevens: http://www.twitter.com/tweetsauce
EXTRA INFO & LINKS BELOW!

Dr. Julian Bayliss' rainforest story: https://ai-tube.com/videoai/zav8zFF4XQH

Cool video from CGPGrey: "How Many Countries Are There?" https://ai-tube.com/videoai/4NviRDzsCcx

upside-down map: http://paulmencke.nl.dualdev.com/wp-content/uploads/2010/10/Upside-down-World-Map.jpg

INTERACTIVE projection site: http://www.jasondavies.com/maps/transition/

Chromoscope: http://www.chromoscope.net/

Mercator Puzzle: https://gmaps-samples.googlecode.com/svn/trunk/poly/puzzledrag.html

xkcd on maps: http://xkcd.com/977/

Earth "live": http://aa.usno.navy.mil/imagery/earth/live

interactive gnomonic: http://bl.ocks.org/mbostock/3795048

West Wing MAPS clip: https://ai-tube.com/videoai/a8mOP2qiREZ

Earth from Mars: http://astrobob.areavoices.com/2012/08/10/what-does-earth-look-like-from-mars/

Earth from Saturn: http://saturn.jpl.nasa.gov/news/newsreleases/newsrelease20130722/

"look" etymology: http://www.etymonline.com/index.php?term=look

wave on a string simulation: http://phet.colorado.edu/en/simulation/wave-on-a-string

Hi-res electromagnetic spectrum: http://www.zulyzami.com/dl16?display

Earth under different light: http://orbitingfrog.com/2008/06/25/earth-and-friends-in-multiple-wavelengths/

Moon's shadow on Earth: http://www.slate.com/blogs/bad_astronomy/2013/11/04/solar_eclipse_november_solar_eclipse_pictures_and_videos.html

Bad Astronomer on twitter: https://twitter.com/BadAstronomer

Africa compared to big countries: http://cdn.twentytwowords.com/wp-content/uploads/africa.jpg

Map projection info:

http://usersguidetotheuniverse.com/?p=1734
http://nationalatlas.gov/articles/mapping/a_projections.html
http://www.radicalcartography.net/?projectionref
http://www.geo.hunter.cuny.edu/~jochen/gtech201/lectures/lec6concepts/map%20coordinate%20systems/how%20to%20choose%20a%20projection.htm
http://education.nationalgeographic.co.uk/education/media/selecting-map-projection/?ar_a=1
http://www.colorado.edu/geography/gcraft/notes/mapproj/mapproj.html
http://kartoweb.itc.nl/geometrics/map%20projections/mappro.html
http://www.giss.nasa.gov/tools/gprojector/help/projections.html

What we used to think Earth looked like from space: http://blogs.smithsonianmag.com/smartnews/2013/09/heres-what-we-thought-earth-would-look-like-from-space/

Earth is not a perfect sphere: http://www.scientificamerican.com/article.cfm?id=earth-is-not-round